Proppant settlement in fracture

Input(s)

ρp\rho_{p}: Proppant Density (lbm/ft3)\left(\mathrm{lbm} / \mathrm{ft}^{3}\right)

ρf\rho_{f}: Fluid Density (lbm/ft3)\left(\mathrm{lbm} / \mathrm{ft}^{3}\right)

g\mathrm{g}: Gravity Acceleration (ft/s2)\left(\mathrm{ft} / \mathrm{s}^{2}\right)

dpd_{p}: Particle Diameter (ft)(\mathrm{ft})

vtv_{t}: Terminal Particle Settling Velocity (ft/s)

Output(s)

CDC_{D}: Coefficient of Drag (unitless)

Formula(s)

CD=4(ρpρf) gdpρfvt2\mathrm{C}_{\mathrm{D}}=4 *\left(\rho_{\mathrm{p}}-\rho_{\mathrm{f}}\right) * \mathrm{~g} * \frac{\mathrm{d}_{\mathrm{p}}}{\rho_{\mathrm{f}} * \mathrm{v}_{\mathrm{t}}^{2}}

Reference(s)

Daneshy, A. 2013. Fundamentals of Hydraulic Fracturing, Daneshy Consultants International, Page: 74.

An unhandled error has occurred. Reload 🗙